Lefschetz type theorems for algebraic cycles and vector bundles.

Algebraic Geometry Seminar

Ravindra Girivaru (University of Missouri - St. Louis, Mathematics)

Friday, March 29, 2019 -
3:15pm to 4:15pm
119 Physics

The Weak Lefschetz theorem (or the Lefschetz hyperplane theorem) states that for a smooth, projective variety Y and a smooth hyperplane section X in Y, the restriction map of cohomologies H^i(Y) to H^i(X) is an isomorphism for i less than dim{X}, and an injection when i equal to dim{X}. Analogues of this theorem have been conjectured for algebraic cycles. We will talk about some results in this area. We will also talk about such questions for vector bundles.

Last updated: 2019/12/12 - 6:30am